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Finding the Third Proportional to 2,499.19 and 2,755.69

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Solution

The third proportional to 2,499.19 and 2,755.69 is: 3,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.19 : 2,755.69 = 2,755.69 : x
  2. Step 2: Convert to fraction form
    2,499.19/2,755.69 = 2,755.69/x
  3. Step 3: Cross multiply
    2,499.19x = 2,755.69 × 2,755.69
  4. Step 4: Simplify right side
    2,499.19x = 7,593,813.60
  5. Step 5: Solve for x
    x = 7,593,813.60/2,499.19
  6. Step 6: Final answer
    x = 3,038.51

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.